# Calculus problem

I have this calculus challenge problem (found here: http://firstyr.appsci.queensu.ca/apsc171/chall1.pdf [Broken])

I was able to answer part a and b, however I am unsure how to approach c and onwards

does anyone have any suggestions?

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## Answers and Replies

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Zurtex
Is it not just a matter or letting in your equation: $\varepsilon = \varepsilon + \Delta \varepsilon[/tex] So you have: $$V(x) = x^4 - 4x^3 + (\varepsilon + \Delta \varepsilon)x^2 + \delta x + 5$$ Differentiating the above with respect to x, knowing that [itex]\delta x = 0$ then equalising to 0 and solving for x and rearranging for $\Delta \varepsilon$? Not entirely sure what the question is asking so not sure.